Random Variable & its Probability Distributions

A random variable X has the probability distribution given below Its variance is

Which of the following distributions of probability of random variable X are the probability distributions? X:012P(X):0.60.40.2

Which of the following distributions of probability of random variable X are the probability distributions? X:0123P(X):0.30.20.40.1

A random variable 'X' has a probability distribution P(X) of the following form (k is constant): then k = __________ .

Let 'X' be a discrete random variable. The probability distribution of X is given below : Then E(X) is equal to :

Let 'X' be a discrete random variable. The probability distribution of X is given below : Then E(X) is equal to:

A discrete random variable X has the probability distribution as given below (i) Find the value of k. (ii) Determine the mean of the distribution.

A random variable X has the probability distribution: For the events E = (X is prime number) and F = {X lt 4}, the probability P(E uu F) is